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Proof step 1 from proof sw-put (conclusion)

r0 ∈ H, r1 ∈ H ⊦ r0 ≠ r1 → H[r0, o0][r1, o1] = H[r1, o1][r0, o0]

System applied rule normalize

And obtained the following new goals

Proof step 2:
r1 ∈ H, r0 ∈ H ⊦ H[r0, o0][r1, o1] = H[r1, o1][r0, o0], r0 = r1

Rule argument

Additional information